R Notebook
Call Libraries
library(tidyverse)
library(caret)
library(MASS)
library(car)
library(moments)Calling the Transformed Datasets
income_cleaned = read_csv('NYS_Corp_Tax_Credit_data/income_cleaned.csv')Rows: 1921 Columns: 6── Column specification ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr (2): Name, Group
dbl (4): Year, Num, Amount, Avg
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.income_cleanedindustry_cleaned = read_csv('NYS_Corp_Tax_Credit_data/industry_cleaned.csv')Rows: 2476 Columns: 6── Column specification ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Delimiter: ","
chr (2): Name, Group
dbl (4): Year, Num, Amount, Avg
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.industry_cleanedCreating the Models
sat.model.summary <- function (df, field, sat.formula){
#Shapiro-Wilks test to evaluate normality
print(shapiro.test(df[[field]]))
#Kurtosis evaluation (normal distribution has a value close to 3)
print('kurtosis')
print(kurtosis(df[[field]]))
linear.model.cleaned = lm(sat.formula, data = df)
print(summary(linear.model.cleaned))
plot(linear.model.cleaned)
#histograms of response variable to check distribution
print(df %>%
ggplot(aes_string(field)) +
geom_histogram() +
labs(title = 'Average Credit Amount Distribution') +
theme(plot.title = element_text(hjust = 0.5)))
#Checking multicollinearity using VIF measurement
print(vif(linear.model.cleaned))
influencePlot(linear.model.cleaned)
#avPlots(linear.model.cleaned)
}
sat.formula <- Avg ~ . - Amount
sat.field <- 'Avg'
sat.model.summary(income_cleaned, sat.field, sat.formula)
income.model <- lm(sat.formula, data = income_cleaned)
summary(income.model)
sat.model.summary(industry_cleaned, sat.field, sat.formula)
industry.model <- lm(sat.formula, data = industry_cleaned)Correcting violation of Normality in previous model with BoxCox transform
bc_func <- function (lm.cleaned, lambda.range){
bc = boxCox(lm.cleaned, lambda = lambda.range)
#Extracting the best lambda value.
return(bc$x[which(bc$y == max(bc$y))])
}
#Income Group Dataset
income.lambda.bc = bc_func(income.model, seq(-0.2, 0.2, 1/10))
income.lambda.bc[1] -0.01414141#Industry Group Dataset
industry.lambda.bc = bc_func(industry.model, seq(-0.2, 0.2, 1/10))
industry.lambda.bc[1] -0.03434343bc_transform <- function(df, lambda.bc){
return (df %>%
mutate(Avg.bc = (Avg^lambda.bc -1)/lambda.bc) %>%
select(-c(Avg, Amount)))
}
#Income Group Dataset
income_cleaned_bc <- bc_transform(income_cleaned, income.lambda.bc)
income.model.bc = lm(Avg.bc ~ ., data = income_cleaned_bc)
#Industry Group Dataset
industry_cleaned_bc <- bc_transform(industry_cleaned, industry.lambda.bc)
industry.model.bc = lm(Avg.bc ~ ., data = industry_cleaned_bc)Checking linear regression assumptions for the transformed data.
sat.formula.bc <- Avg.bc ~ .
sat.field.bc <- 'Avg.bc'
#Income
sat.model.summary(income_cleaned_bc, sat.field.bc, sat.formula.bc)
Shapiro-Wilk normality test
data: df[[field]]
W = 0.99696, p-value = 0.000782
[1] "kurtosis"
[1] -0.2553313
Call:
lm(formula = sat.formula, data = df)
Residuals:
Min 1Q Median 3Q Max
-6.6597 -0.5738 -0.0113 0.5668 4.4826
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -3.634e+01 1.456e+01 -2.496 0.012643
Year 2.288e-02 7.214e-03 3.171 0.001543
NameAlternative Fuels and Electric Vehicle Recharging Property Credit -8.643e-01 3.281e-01 -2.634 0.008510
NameAlternative Minimum Tax Credit -2.052e+00 2.577e-01 -7.962 2.91e-15
NameBeer Production Credit 5.687e-01 3.407e-01 1.669 0.095234
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15 1.715e+00 2.630e-01 6.521 8.99e-11
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15 2.676e+00 3.754e-01 7.130 1.43e-12
NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08 1.331e+00 2.622e-01 5.076 4.24e-07
NameBrownfield Tax Credits - Remediation Real Property Tax Credit 5.458e-02 2.620e-01 0.208 0.834991
NameClean Heating Fuel Credit -3.086e+00 2.705e-01 -11.409 < 2e-16
NameConservation Easement Tax Credit -2.137e+00 2.810e-01 -7.606 4.45e-14
NameCredit for Employment of Persons with Disabilities -3.118e+00 2.956e-01 -10.547 < 2e-16
NameCredit for Purchase of an Automated External Defibrillator -2.938e+00 2.560e-01 -11.473 < 2e-16
NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities -5.673e-01 4.698e-01 -1.207 0.227430
NameEmpire State Apprentice Tax Credit -2.207e+00 4.024e-01 -5.485 4.71e-08
NameEmpire State Commercial Production Credit 6.075e-02 3.410e-01 0.178 0.858634
NameEmpire State Film Post Production Credit 1.101e+00 2.769e-01 3.977 7.25e-05
NameEmpire State Film Production Credit 2.853e+00 2.632e-01 10.838 < 2e-16
NameEmpire State Musical and Theatrical Production Credit 2.508e-01 4.688e-01 0.535 0.592803
NameExcelsior Jobs Program Credit 4.651e-01 2.521e-01 1.845 0.065178
NameEZ/QEZE Tax Credits - EZ Investment Tax Credit 8.876e-01 2.341e-01 3.792 0.000154
NameEZ/QEZE Tax Credits - EZ Wage Tax Credit 1.775e-01 2.433e-01 0.730 0.465701
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes 1.220e+00 2.440e-01 5.000 6.26e-07
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners 1.182e-01 2.522e-01 0.469 0.639260
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit -8.497e-01 2.479e-01 -3.427 0.000623
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners -1.358e+00 2.756e-01 -4.928 9.02e-07
NameFarm Workforce Retention Credit -1.612e+00 3.394e-01 -4.749 2.20e-06
NameFarmers' School Tax Credit -1.311e+00 2.696e-01 -4.863 1.26e-06
NameHire a Veteran Credit -2.915e+00 4.706e-01 -6.195 7.15e-10
NameHistoric Properties Rehabilitation Credit 1.918e+00 2.786e-01 6.886 7.81e-12
NameIndustrial or Manufacturing Business Tax Credit -1.718e+00 2.836e-01 -6.059 1.66e-09
NameInvestment Tax Credit 7.147e-02 2.349e-01 0.304 0.760985
NameInvestment Tax Credit for the Financial Services Industry 3.176e-01 2.662e-01 1.193 0.232870
NameLife Sciences Research & Development Tax Credit 7.033e-01 5.543e-01 1.269 0.204728
NameLong-Term Care Insurance Credit -2.863e+00 2.590e-01 -11.051 < 2e-16
NameLow-Income Housing Credit -9.063e-01 2.940e-01 -3.083 0.002080
NameMinimum Wage Reimbursement Credit -1.241e+00 2.656e-01 -4.674 3.17e-06
NameMortgage Servicing Tax Credit -9.378e-01 2.865e-01 -3.273 0.001084
NameNew York Youth Jobs Program Tax Credit -1.330e+00 2.478e-01 -5.367 9.01e-08
NameQETC Capital Tax Credit 4.561e-01 3.661e-01 1.246 0.212956
NameQETC Employment Credit -5.888e-01 2.709e-01 -2.174 0.029855
NameQETC Facilities, Operations, and Training Credit 5.799e-01 5.065e-01 1.145 0.252462
NameReal Property Tax Relief Credit for Manufacturing -1.518e+00 2.550e-01 -5.956 3.09e-09
NameSpecial Additional Mortgage Recording Tax Credit -2.309e-01 2.441e-01 -0.946 0.344374
NameSTART-UP NY Tax Elimination Credit -2.193e+00 2.985e-01 -7.345 3.05e-13
Group1,000,000 - 24,999,999 1.090e+00 9.246e-02 11.785 < 2e-16
Group100,000 - 499,999 3.590e-01 9.451e-02 3.798 0.000150
Group100,000,000 - 499,999,999 1.685e+00 1.040e-01 16.202 < 2e-16
Group25,000,000 - 49,999,999 1.325e+00 1.115e-01 11.883 < 2e-16
Group50,000,000 - 99,999,999 1.473e+00 1.118e-01 13.172 < 2e-16
Group500,000 - 999,999 6.032e-01 1.025e-01 5.886 4.67e-09
Group500,000,000 - and over 2.332e+00 1.016e-01 22.953 < 2e-16
GroupZero or Net Loss 9.934e-01 8.817e-02 11.267 < 2e-16
Num -1.533e-03 2.263e-04 -6.775 1.66e-11
(Intercept) *
Year **
NameAlternative Fuels and Electric Vehicle Recharging Property Credit **
NameAlternative Minimum Tax Credit ***
NameBeer Production Credit .
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15 ***
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15 ***
NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08 ***
NameBrownfield Tax Credits - Remediation Real Property Tax Credit
NameClean Heating Fuel Credit ***
NameConservation Easement Tax Credit ***
NameCredit for Employment of Persons with Disabilities ***
NameCredit for Purchase of an Automated External Defibrillator ***
NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities
NameEmpire State Apprentice Tax Credit ***
NameEmpire State Commercial Production Credit
NameEmpire State Film Post Production Credit ***
NameEmpire State Film Production Credit ***
NameEmpire State Musical and Theatrical Production Credit
NameExcelsior Jobs Program Credit .
NameEZ/QEZE Tax Credits - EZ Investment Tax Credit ***
NameEZ/QEZE Tax Credits - EZ Wage Tax Credit
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes ***
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit ***
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners ***
NameFarm Workforce Retention Credit ***
NameFarmers' School Tax Credit ***
NameHire a Veteran Credit ***
NameHistoric Properties Rehabilitation Credit ***
NameIndustrial or Manufacturing Business Tax Credit ***
NameInvestment Tax Credit
NameInvestment Tax Credit for the Financial Services Industry
NameLife Sciences Research & Development Tax Credit
NameLong-Term Care Insurance Credit ***
NameLow-Income Housing Credit **
NameMinimum Wage Reimbursement Credit ***
NameMortgage Servicing Tax Credit **
NameNew York Youth Jobs Program Tax Credit ***
NameQETC Capital Tax Credit
NameQETC Employment Credit *
NameQETC Facilities, Operations, and Training Credit
NameReal Property Tax Relief Credit for Manufacturing ***
NameSpecial Additional Mortgage Recording Tax Credit
NameSTART-UP NY Tax Elimination Credit ***
Group1,000,000 - 24,999,999 ***
Group100,000 - 499,999 ***
Group100,000,000 - 499,999,999 ***
Group25,000,000 - 49,999,999 ***
Group50,000,000 - 99,999,999 ***
Group500,000 - 999,999 ***
Group500,000,000 - and over ***
GroupZero or Net Loss ***
Num ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 1.022 on 1867 degrees of freedom
Multiple R-squared: 0.7368, Adjusted R-squared: 0.7293
F-statistic: 98.61 on 53 and 1867 DF, p-value: < 2.2e-16
GVIF Df GVIF^(1/(2*Df))
Year 2.125869 1 1.458036
Name 3.521453 43 1.014746
Group 1.510763 8 1.026124
Num 1.645484 1 1.282764
#Industry
sat.model.summary(industry_cleaned_bc, sat.field.bc, sat.formula.bc)
Shapiro-Wilk normality test
data: df[[field]]
W = 0.9902, p-value = 5.826e-12
[1] "kurtosis"
[1] -0.4869026
Call:
lm(formula = sat.formula, data = df)
Residuals:
Min 1Q Median 3Q Max
-6.2888 -0.4697 0.0183 0.4928 3.9068
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -6.095e+01 1.107e+01 -5.505 4.09e-08
Year 3.440e-02 5.488e-03 6.269 4.30e-10
NameAlternative Fuels and Electric Vehicle Recharging Property Credit 2.665e-01 2.733e-01 0.975 0.329737
NameAlternative Minimum Tax Credit -2.463e+00 2.272e-01 -10.839 < 2e-16
NameBeer Production Credit 6.334e-01 3.381e-01 1.873 0.061126
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15 2.198e+00 2.415e-01 9.100 < 2e-16
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15 2.727e+00 3.930e-01 6.939 5.06e-12
NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08 1.586e+00 2.581e-01 6.148 9.17e-10
NameBrownfield Tax Credits - Remediation Real Property Tax Credit 9.695e-01 2.570e-01 3.772 0.000166
NameClean Heating Fuel Credit -2.544e+00 2.481e-01 -10.252 < 2e-16
NameConservation Easement Tax Credit -1.123e+00 2.538e-01 -4.423 1.02e-05
NameCredit for Employment of Persons with Disabilities -1.245e+00 2.737e-01 -4.549 5.67e-06
NameCredit for Purchase of an Automated External Defibrillator -1.535e+00 2.411e-01 -6.368 2.29e-10
NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities -8.171e-02 4.474e-01 -0.183 0.855119
NameEmpire State Apprentice Tax Credit -8.683e-01 5.464e-01 -1.589 0.112125
NameEmpire State Commercial Production Credit 6.235e-01 3.333e-01 1.871 0.061481
NameEmpire State Film Post Production Credit 1.439e+00 2.821e-01 5.100 3.66e-07
NameEmpire State Film Production Credit 3.232e+00 2.584e-01 12.509 < 2e-16
NameEmpire State Musical and Theatrical Production Credit 1.012e+00 4.865e-01 2.080 0.037608
NameExcelsior Jobs Program Credit 1.643e+00 2.372e-01 6.929 5.42e-12
NameEZ/QEZE Tax Credits - EZ Investment Tax Credit 1.310e+00 2.332e-01 5.617 2.17e-08
NameEZ/QEZE Tax Credits - EZ Wage Tax Credit 7.127e-01 2.275e-01 3.133 0.001750
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes 1.707e+00 2.264e-01 7.540 6.61e-14
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners 9.777e-01 2.328e-01 4.200 2.77e-05
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit 1.609e-01 2.303e-01 0.699 0.484921
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners -5.241e-01 2.722e-01 -1.925 0.054320
NameFarm Workforce Retention Credit -8.623e-01 2.890e-01 -2.984 0.002876
NameFarmers' School Tax Credit -1.158e+00 2.771e-01 -4.179 3.03e-05
NameHire a Veteran Credit -1.040e+00 4.456e-01 -2.335 0.019638
NameHistoric Properties Rehabilitation Credit 2.397e+00 2.614e-01 9.172 < 2e-16
NameInvestment Tax Credit 6.981e-01 2.230e-01 3.131 0.001763
NameInvestment Tax Credit for the Financial Services Industry 1.560e+00 3.108e-01 5.019 5.59e-07
NameLife Sciences Research & Development Tax Credit 9.057e-01 4.864e-01 1.862 0.062697
NameLong-Term Care Insurance Credit -1.867e+00 2.268e-01 -8.231 3.01e-16
NameLow-Income Housing Credit 1.331e+00 2.967e-01 4.487 7.57e-06
NameMinimum Wage Reimbursement Credit -9.161e-01 2.366e-01 -3.872 0.000111
NameMortgage Servicing Tax Credit 8.932e-01 3.489e-01 2.560 0.010534
NameNew York Youth Jobs Program Tax Credit 1.263e-01 2.307e-01 0.548 0.584069
NameQETC Capital Tax Credit 1.162e+00 3.168e-01 3.667 0.000251
NameQETC Employment Credit -3.048e-01 2.411e-01 -1.264 0.206249
NameQETC Facilities, Operations, and Training Credit 1.147e+00 3.624e-01 3.165 0.001571
NameReal Property Tax Relief Credit for Manufacturing -6.559e-01 2.388e-01 -2.746 0.006077
NameSpecial Additional Mortgage Recording Tax Credit 7.505e-01 2.393e-01 3.136 0.001736
NameSTART-UP NY Tax Elimination Credit -1.834e+00 2.565e-01 -7.151 1.14e-12
GroupAdministrative and Support and Waste Management and Remediation Services 2.878e-01 1.360e-01 2.116 0.034417
GroupAdministrative/Support/Waste Management/Remediation Services 1.675e-01 1.511e-01 1.109 0.267612
GroupAgriculture, Forestry, Fishing and Hunting -1.132e-01 1.258e-01 -0.899 0.368486
GroupArts, Entertainment, and Recreation 5.595e-01 1.251e-01 4.473 8.09e-06
GroupConstruction -4.299e-02 1.172e-01 -0.367 0.713860
GroupEducational Services 2.253e-01 1.592e-01 1.415 0.157160
GroupFinance and Insurance 5.350e-01 1.099e-01 4.870 1.19e-06
GroupHealth Care and Social Assistance -6.777e-02 1.237e-01 -0.548 0.583720
GroupInformation 7.098e-01 1.176e-01 6.037 1.81e-09
GroupManagement of Companies and Enterprises 6.672e-01 1.052e-01 6.340 2.73e-10
GroupManufacturing 4.608e-01 1.095e-01 4.208 2.67e-05
GroupMining 2.515e-01 1.940e-01 1.296 0.194977
GroupMining, Quarrying, and Oil and Gas Extraction 3.869e-01 1.626e-01 2.379 0.017421
GroupOther Services (except Public Administration) -1.550e-01 1.197e-01 -1.295 0.195482
GroupProfessional, Scientific, and Technical Services 4.875e-01 1.126e-01 4.331 1.55e-05
GroupReal Estate and Rental and Leasing 1.461e-01 1.104e-01 1.324 0.185596
GroupRetail Trade 3.754e-01 1.100e-01 3.414 0.000650
GroupTransportation and Warehousing 2.125e-01 1.242e-01 1.711 0.087179
GroupUtilities 6.972e-01 1.422e-01 4.904 1.00e-06
GroupWholesale Trade 4.367e-01 1.124e-01 3.886 0.000105
Num 4.542e-04 2.307e-04 1.969 0.049082
(Intercept) ***
Year ***
NameAlternative Fuels and Electric Vehicle Recharging Property Credit
NameAlternative Minimum Tax Credit ***
NameBeer Production Credit .
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15 ***
NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15 ***
NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08 ***
NameBrownfield Tax Credits - Remediation Real Property Tax Credit ***
NameClean Heating Fuel Credit ***
NameConservation Easement Tax Credit ***
NameCredit for Employment of Persons with Disabilities ***
NameCredit for Purchase of an Automated External Defibrillator ***
NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities
NameEmpire State Apprentice Tax Credit
NameEmpire State Commercial Production Credit .
NameEmpire State Film Post Production Credit ***
NameEmpire State Film Production Credit ***
NameEmpire State Musical and Theatrical Production Credit *
NameExcelsior Jobs Program Credit ***
NameEZ/QEZE Tax Credits - EZ Investment Tax Credit ***
NameEZ/QEZE Tax Credits - EZ Wage Tax Credit **
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes ***
NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners ***
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit
NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners .
NameFarm Workforce Retention Credit **
NameFarmers' School Tax Credit ***
NameHire a Veteran Credit *
NameHistoric Properties Rehabilitation Credit ***
NameInvestment Tax Credit **
NameInvestment Tax Credit for the Financial Services Industry ***
NameLife Sciences Research & Development Tax Credit .
NameLong-Term Care Insurance Credit ***
NameLow-Income Housing Credit ***
NameMinimum Wage Reimbursement Credit ***
NameMortgage Servicing Tax Credit *
NameNew York Youth Jobs Program Tax Credit
NameQETC Capital Tax Credit ***
NameQETC Employment Credit
NameQETC Facilities, Operations, and Training Credit **
NameReal Property Tax Relief Credit for Manufacturing **
NameSpecial Additional Mortgage Recording Tax Credit **
NameSTART-UP NY Tax Elimination Credit ***
GroupAdministrative and Support and Waste Management and Remediation Services *
GroupAdministrative/Support/Waste Management/Remediation Services
GroupAgriculture, Forestry, Fishing and Hunting
GroupArts, Entertainment, and Recreation ***
GroupConstruction
GroupEducational Services
GroupFinance and Insurance ***
GroupHealth Care and Social Assistance
GroupInformation ***
GroupManagement of Companies and Enterprises ***
GroupManufacturing ***
GroupMining
GroupMining, Quarrying, and Oil and Gas Extraction *
GroupOther Services (except Public Administration)
GroupProfessional, Scientific, and Technical Services ***
GroupReal Estate and Rental and Leasing
GroupRetail Trade ***
GroupTransportation and Warehousing .
GroupUtilities ***
GroupWholesale Trade ***
Num *
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.8703 on 2411 degrees of freedom
Multiple R-squared: 0.7631, Adjusted R-squared: 0.7569
F-statistic: 121.4 on 64 and 2411 DF, p-value: < 2.2e-16
GVIF Df GVIF^(1/(2*Df))
Year 2.190806 1 1.480137
Name 5.185764 42 1.019787
Group 2.724217 20 1.025371
Num 1.370920 1 1.170863
BIC comparison before and after BoxCox transform
BIC(income.model.bc, income.model)BIC(industry.model.bc, industry.model)Stepwise Regression on Income_cat_bc (boxcox transformed dataset)
colnames(dummy_func(industry_cleaned_bc))
[1] "Year"
[2] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[3] "NameAlternative_Minimum_Tax_Credit"
[4] "NameBeer_Production_Credit"
[5] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[6] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[7] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[8] "NameBrownfield_Tax_Credits___Remediation_Real_Property_Tax_Credit"
[9] "NameClean_Heating_Fuel_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[12] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[13] "NameCredit_for_Taxicabs___Livery_Service_Vehicles_Accessible_to_Persons_with_Disabilities"
[14] "NameEmpire_State_Apprentice_Tax_Credit"
[15] "NameEmpire_State_Commercial_Production_Credit"
[16] "NameEmpire_State_Film_Post_Production_Credit"
[17] "NameEmpire_State_Film_Production_Credit"
[18] "NameEmpire_State_Musical_and_Theatrical_Production_Credit"
[19] "NameExcelsior_Jobs_Program_Credit"
[20] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[21] "NameEZ_QEZE_Tax_Credits___EZ_Wage_Tax_Credit"
[22] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[23] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes_For_Corporate_Partners"
[24] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[25] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[26] "NameFarm_Workforce_Retention_Credit"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameInvestment_Tax_Credit"
[31] "NameInvestment_Tax_Credit_for_the_Financial_Services_Industry"
[32] "NameLife_Sciences_Research___Development_Tax_Credit"
[33] "NameLong_Term_Care_Insurance_Credit"
[34] "NameLow_Income_Housing_Credit"
[35] "NameMinimum_Wage_Reimbursement_Credit"
[36] "NameMortgage_Servicing_Tax_Credit"
[37] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[38] "NameQETC_Capital_Tax_Credit"
[39] "NameQETC_Employment_Credit"
[40] "NameQETC_Facilities__Operations__and_Training_Credit"
[41] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[42] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[43] "NameSTART_UP_NY_Tax_Elimination_Credit"
[44] "GroupAdministrative_and_Support_and_Waste_Management_and_Remediation_Services"
[45] "GroupAdministrative_Support_Waste_Management_Remediation_Services"
[46] "GroupAgriculture__Forestry__Fishing_and_Hunting"
[47] "GroupArts__Entertainment__and_Recreation"
[48] "GroupConstruction"
[49] "GroupEducational_Services"
[50] "GroupFinance_and_Insurance"
[51] "GroupHealth_Care_and_Social_Assistance"
[52] "GroupInformation"
[53] "GroupManagement_of_Companies_and_Enterprises"
[54] "GroupManufacturing"
[55] "GroupMining"
[56] "GroupMining__Quarrying__and_Oil_and_Gas_Extraction"
[57] "GroupOther_Services__except_Public_Administration_"
[58] "GroupProfessional__Scientific__and_Technical_Services"
[59] "GroupReal_Estate_and_Rental_and_Leasing"
[60] "GroupRetail_Trade"
[61] "GroupTransportation_and_Warehousing"
[62] "GroupUtilities"
[63] "GroupWholesale_Trade"
[64] "Num"
[65] "Avg.bc" Cleaning column names further so stepwise regression doesn’t present any errors
#Income Group Dataset
income.dummy.bc <- dummy_func(income_cleaned_bc)
#colnames(income.dummy.bc)[37] <- 'NameManufactureru0092s_Real_Property_Tax_Credit'
colnames(income.dummy.bc)
#Industry Group Dataset
industry.dummy.bc <- dummy_func(industry_cleaned_bc)
#colnames(industry.dummy.bc)[35] <- 'NameManufactureru0092s_Real_Property_Tax_Credit'
colnames(industry.dummy.bc)Stepwise regression using BIC as the criteria (k = log(n)).
#Creating Stepwise Models
bcs = list(income = income.dummy.bc, industry = industry.dummy.bc)
model.fulls = list(income = lm(Avg.bc ~ ., data = income.dummy.bc), industry = lm(Avg.bc ~ ., data = industry.dummy.bc)) #All variables
model.emptys = list(income = lm(Avg.bc ~ 1, data = income.dummy.bc), industry = lm(Avg.bc ~ 1, data = industry.dummy.bc)) #intercept only
k = c('income', 'industry')
forwardBIC = list(income = NULL, industry = NULL)
backwardBIC = list(income = NULL, industry = NULL)
for (i in k){
bc = bcs[[i]]
scope = list(lower = formula(model.emptys[[i]]), upper = formula(model.fulls[[i]]))
n_obs = bc %>% count() %>% dplyr::first()
forwardBIC[[i]] = step(model.emptys[[i]], scope, direction = "forward", k = log(n_obs))
backwardBIC[[i]] = step(model.fulls[[i]], scope, direction = "backward", k = log(n_obs))
}Selecting Best Formula per Dataset from Stepwise Regressions
bic_func(forwardBIC[['income']])
[1] "Adjusted R Squared:"
[1] 0.7287541
[1] "Number of Coefficients:"
[1] 41
[1] "VIF Check: "
[1] 1.867767
[1] "*************************"bic_func(backwardBIC[['income']])[1] "Adjusted R Squared:"
[1] 0.7287541
[1] "Number of Coefficients:"
[1] 41
[1] "VIF Check: "
[1] 1.867767
[1] "*************************"bic_func(forwardBIC[['industry']])[1] "Adjusted R Squared:"
[1] 0.7532731
[1] "Number of Coefficients:"
[1] 42
[1] "VIF Check: "
[1] 1.594046
[1] "*************************"bic_func(backwardBIC[['industry']])[1] "Adjusted R Squared:"
[1] 0.7527448
[1] "Number of Coefficients:"
[1] 43
[1] "VIF Check: "
[1] 2.244589
[1] "*************************"Best Model Selection from Stepwise
#The Best Models selected for both income and industry were forwardBIC.
#Income Group Dataset
income.best.formula <- forwardBIC[['income']]$call[[2]]
income.best.formula
#Industry Group Dataset
industry.best.formula <- forwardBIC[['industry']]$call[[2]]
industry.best.formulaSplitting data up into test data and training data (test data is for year 2019, training is the rest)
test_train_split <- function(dummy_bc, best.formula) {
# data.test <- dummy_bc %>% filter(Year == 2019)
# data.train <- dummy_bc %>% filter(Year != 2019)
X <- model.matrix(best.formula, data = dummy_bc)[,-1]
y <- as.matrix(dummy_bc %>% select(all.vars(best.formula)[1]))
set.seed(0)
train.i = sample(1:nrow(dummy_bc), 0.8*nrow(dummy_bc), replace = F)
#train
X.train <- X[train.i,]
y.train <- y[train.i,]
#test
X.test <- X[-train.i,]
y.test <- y[-train.i,]
data.train <- as.data.frame(cbind(y.train, X.train))
data.test <- as.data.frame(cbind(y.test, X.test))
colnames(data.train)[1] = all.vars(best.formula)[1]
colnames(data.test)[1] = all.vars(best.formula)[1]
return (list('X.train' = X.train, 'y.train' = y.train, 'X.test' = X.test, 'y.test' = y.test, 'data.train' = data.train, 'data.test' = data.test))
}Lasso regression for comparison to Forward Stepwise
# calc_MSE <- function (model, x.test, y.test){
# y.predict <- predict(model, newdata = x.test)
# return(mean((y.predict - y.test)^2))
# }
xy.splits <- list('income' = income.data.split,
'industry' = industry.data.split,
'income.sat' = income.data.split.sat,
'industry.sat' = industry.data.split.sat)
lasso.list <- c('income', 'industry', 'income.sat', 'industry.sat')
baseline.list <- c('income.sat', 'industry.sat', 'income.sat', 'industry.sat')
ridge.alpha <- 0
for (a in 1:4){
i = lasso.list[a]
b = baseline.list[a]
X.train <- xy.splits[[i]][['X.train']]
y.train <- xy.splits[[i]][['y.train']]
X.test <- xy.splits[[i]][['X.test']]
y.test <- xy.splits[[i]][['y.test']]
X.test.sat <- xy.splits[[b]][['X.test']]
y.test.sat <- xy.splits[[b]][['y.test']]
data.train <- xy.splits[[i]][['data.train']]
data.test <- xy.splits[[i]][['data.test']]
#create lambda grid
lambda.grid = 10^seq(2, -5, length = 100)
#create lasso models with lambda.grid
lasso.models = glmnet(X.train, y.train, alpha = ridge.alpha, lambda = lambda.grid)
#visualize coefficient shrinkage
plot(lasso.models, xvar = "lambda", label = TRUE, main = paste("Lasso Regression:", i))
#Cross Validation to find best lambda
set.seed(0)
cv.lasso.models <- cv.glmnet(X.train, y.train, alpha = ridge.alpha, lambda = lambda.grid, nfolds = 10)
#visualize cross validation for lambda that minimizes the mean squared error.
plot(cv.lasso.models, main = paste("Lasso Regression:", i))
#Checking the best lambda
log(cv.lasso.models$lambda.min)
best.lambda <- cv.lasso.models$lambda.min
print(paste(i, ' best.lambda:', best.lambda))
# best lambda with all the variables was found to be 0.0006892612
# best lambda with only the bwdBIC coefficients included was found to be 0.0003053856
#looking at the lasso coefficients for the best.lambda
best.lambda.coeff <- predict(lasso.models, s = best.lambda, type = "coefficients")
print('Number of Coefficients:')
print(dim(best.lambda.coeff)[1])
#fitting a model with the best lambda found to be 0.000689 and using it to make predictions for the testing data.
lasso.best.lambda.train.pred <- predict(lasso.models, s = best.lambda, newx = X.test)
lasso.best.lambda.train.pred
#checking MSE
MSE.lasso <- mean((lasso.best.lambda.train.pred - y.test)^2)
sat.model.bc <- lm(Avg.bc ~., data = data.train)
temp.df <- as.data.frame(X.test.sat) #temp fix
colnames(temp.df) <- str_replace_all(colnames(temp.df), "[`]", '')
y.predict <- predict(sat.model.bc, newdata = temp.df)
MSE.sat <- mean((y.predict - y.test.sat)^2)
print(paste(i, ' Lasso MSE: ', MSE.lasso, ' ', b, ' Saturated MSE: ', MSE.sat))
metrics <- eval_results(y.test, lasso.best.lambda.train.pred, data.test)
print(metrics)
print('********************************')
}Function to show metrics (R^2 and MSE) for Regularization (Ridge/Lasso)
regularization_func(all.splits[['income.data.split.sat']], 0, 'income.data.split.sat')
[1] "Year"
[2] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[3] "NameAlternative_Minimum_Tax_Credit"
[4] "NameBeer_Production_Credit"
[5] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[6] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[7] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[8] "NameBrownfield_Tax_Credits___Remediation_Real_Property_Tax_Credit"
[9] "NameClean_Heating_Fuel_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[12] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[13] "NameCredit_for_Taxicabs___Livery_Service_Vehicles_Accessible_to_Persons_with_Disabilities"
[14] "NameEmpire_State_Apprentice_Tax_Credit"
[15] "NameEmpire_State_Commercial_Production_Credit"
[16] "NameEmpire_State_Film_Post_Production_Credit"
[17] "NameEmpire_State_Film_Production_Credit"
[18] "NameEmpire_State_Musical_and_Theatrical_Production_Credit"
[19] "NameExcelsior_Jobs_Program_Credit"
[20] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[21] "NameEZ_QEZE_Tax_Credits___EZ_Wage_Tax_Credit"
[22] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[23] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes_For_Corporate_Partners"
[24] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[25] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[26] "NameFarm_Workforce_Retention_Credit"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[31] "NameInvestment_Tax_Credit"
[32] "NameInvestment_Tax_Credit_for_the_Financial_Services_Industry"
[33] "NameLife_Sciences_Research___Development_Tax_Credit"
[34] "NameLong_Term_Care_Insurance_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "NameMinimum_Wage_Reimbursement_Credit"
[37] "NameMortgage_Servicing_Tax_Credit"
[38] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[39] "NameQETC_Capital_Tax_Credit"
[40] "NameQETC_Employment_Credit"
[41] "NameQETC_Facilities__Operations__and_Training_Credit"
[42] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[43] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[44] "NameSTART_UP_NY_Tax_Elimination_Credit"
[45] "Group1_000_000___24_999_999"
[46] "Group100_000___499_999"
[47] "Group100_000_000___499_999_999"
[48] "Group25_000_000___49_999_999"
[49] "Group50_000_000___99_999_999"
[50] "Group500_000___999_999"
[51] "Group500_000_000___and_over"
[52] "GroupZero_or_Net_Loss"
[53] "Num"
[1] "Year"
[2] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[3] "NameAlternative_Minimum_Tax_Credit"
[4] "NameBeer_Production_Credit"
[5] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[6] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[7] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[8] "NameBrownfield_Tax_Credits___Remediation_Real_Property_Tax_Credit"
[9] "NameClean_Heating_Fuel_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[12] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[13] "NameCredit_for_Taxicabs___Livery_Service_Vehicles_Accessible_to_Persons_with_Disabilities"
[14] "NameEmpire_State_Apprentice_Tax_Credit"
[15] "NameEmpire_State_Commercial_Production_Credit"
[16] "NameEmpire_State_Film_Post_Production_Credit"
[17] "NameEmpire_State_Film_Production_Credit"
[18] "NameEmpire_State_Musical_and_Theatrical_Production_Credit"
[19] "NameExcelsior_Jobs_Program_Credit"
[20] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[21] "NameEZ_QEZE_Tax_Credits___EZ_Wage_Tax_Credit"
[22] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[23] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes_For_Corporate_Partners"
[24] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[25] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[26] "NameFarm_Workforce_Retention_Credit"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[31] "NameInvestment_Tax_Credit"
[32] "NameInvestment_Tax_Credit_for_the_Financial_Services_Industry"
[33] "NameLife_Sciences_Research___Development_Tax_Credit"
[34] "NameLong_Term_Care_Insurance_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "NameMinimum_Wage_Reimbursement_Credit"
[37] "NameMortgage_Servicing_Tax_Credit"
[38] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[39] "NameQETC_Capital_Tax_Credit"
[40] "NameQETC_Employment_Credit"
[41] "NameQETC_Facilities__Operations__and_Training_Credit"
[42] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[43] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[44] "NameSTART_UP_NY_Tax_Elimination_Credit"
[45] "Group1_000_000___24_999_999"
[46] "Group100_000___499_999"
[47] "Group100_000_000___499_999_999"
[48] "Group25_000_000___49_999_999"
[49] "Group50_000_000___99_999_999"
[50] "Group500_000___999_999"
[51] "Group500_000_000___and_over"
[52] "GroupZero_or_Net_Loss"
[53] "Num"
character(0)
Rsquare
0.7208687 
#all.dfs <- list(income_cleaned, income_cleaned_bc, income.dummy.bc)
all.splits <- list(
'income_cleaned' = test_train_split(income_cleaned, Avg ~ .),
'income_cleaned_bc' = test_train_split(income_cleaned_bc, Avg.bc ~ .),
'income.data.split.sat' = test_train_split(income.dummy.bc, Avg.bc ~ .),
'income.data.split.best' = test_train_split(income.dummy.bc, income.best.formula)
)
#For loops initialization
formulas <- list(income_cleaned = sat.formula, income_cleaned_bc = sat.formula.bc, income.data.split.sat = sat.formula.bc, income.data.split.best = income.best.formula)
no.reg.r2 <- c()
lasso.reg.r2 <- c()
ridge.reg.r2 <- c()
for (i in names(all.splits)) {
#no regularization
m = lm(formulas[[i]], all.splits[[i]][['data.train']])
no.reg.r2 <- c(no.reg.r2, summary(m)$adj.r.squared)
#lasso regularization
lasso.reg.r2 <- c(lasso.reg.r2, regularization_func(all.splits[[i]], 1, i))
#ridge regularization
ridge.reg.r2 <- c(ridge.reg.r2, regularization_func(all.splits[[i]], 0, i))
} [1] "Year"
[2] "NameAlternative Fuels and Electric Vehicle Recharging Property Credit"
[3] "NameAlternative Minimum Tax Credit"
[4] "NameBeer Production Credit"
[5] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15"
[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
[45] "Group1,000,000 - 24,999,999"
[46] "Group100,000 - 499,999"
[47] "Group100,000,000 - 499,999,999"
[48] "Group25,000,000 - 49,999,999"
[49] "Group50,000,000 - 99,999,999"
[50] "Group500,000 - 999,999"
[51] "Group500,000,000 - and over"
[52] "GroupZero or Net Loss"
[53] "Num"
[54] "Amount"
[1] "Year"
[2] "NameAlternative Fuels and Electric Vehicle Recharging Property Credit"
[3] "NameAlternative Minimum Tax Credit"
[4] "NameBeer Production Credit"
[5] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15"
[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
[45] "Group1,000,000 - 24,999,999"
[46] "Group100,000 - 499,999"
[47] "Group100,000,000 - 499,999,999"
[48] "Group25,000,000 - 49,999,999"
[49] "Group50,000,000 - 99,999,999"
[50] "Group500,000 - 999,999"
[51] "Group500,000,000 - and over"
[52] "GroupZero or Net Loss"
[53] "Num"
[54] "Amount"
character(0)Warning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' values [1] "Year"
[2] "NameAlternative Fuels and Electric Vehicle Recharging Property Credit"
[3] "NameAlternative Minimum Tax Credit"
[4] "NameBeer Production Credit"
[5] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15"
[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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[46] "Group100,000 - 499,999"
[47] "Group100,000,000 - 499,999,999"
[48] "Group25,000,000 - 49,999,999"
[49] "Group50,000,000 - 99,999,999"
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[3] "NameAlternative Minimum Tax Credit"
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[5] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15"
[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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[48] "Group25,000,000 - 49,999,999"
[49] "Group50,000,000 - 99,999,999"
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[52] "GroupZero or Net Loss"
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[54] "Amount"
character(0)
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[2] "NameAlternative Fuels and Electric Vehicle Recharging Property Credit"
[3] "NameAlternative Minimum Tax Credit"
[4] "NameBeer Production Credit"
[5] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 6/23/08 but before 7/1/15"
[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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[47] "Group100,000,000 - 499,999,999"
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[3] "NameAlternative Minimum Tax Credit"
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[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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[46] "Group100,000 - 499,999"
[47] "Group100,000,000 - 499,999,999"
[48] "Group25,000,000 - 49,999,999"
[49] "Group50,000,000 - 99,999,999"
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[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
[11] "NameCredit for Employment of Persons with Disabilities"
[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
[14] "NameEmpire State Apprentice Tax Credit"
[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
[42] "NameReal Property Tax Relief Credit for Manufacturing"
[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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[47] "Group100,000,000 - 499,999,999"
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[49] "Group50,000,000 - 99,999,999"
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[6] "NameBrownfield Tax Credits - Redevelopment Tax Credit - On or after 7/1/15"
[7] "NameBrownfield Tax Credits - Redevelopment Tax Credit - Prior to 6/23/08"
[8] "NameBrownfield Tax Credits - Remediation Real Property Tax Credit"
[9] "NameClean Heating Fuel Credit"
[10] "NameConservation Easement Tax Credit"
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[12] "NameCredit for Purchase of an Automated External Defibrillator"
[13] "NameCredit for Taxicabs & Livery Service Vehicles Accessible to Persons with Disabilities"
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[15] "NameEmpire State Commercial Production Credit"
[16] "NameEmpire State Film Post Production Credit"
[17] "NameEmpire State Film Production Credit"
[18] "NameEmpire State Musical and Theatrical Production Credit"
[19] "NameExcelsior Jobs Program Credit"
[20] "NameEZ/QEZE Tax Credits - EZ Investment Tax Credit"
[21] "NameEZ/QEZE Tax Credits - EZ Wage Tax Credit"
[22] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes"
[23] "NameEZ/QEZE Tax Credits - QEZE Credit for Real Property Taxes For Corporate Partners"
[24] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit"
[25] "NameEZ/QEZE Tax Credits - QEZE Tax Reduction Credit For Corporate Partners"
[26] "NameFarm Workforce Retention Credit"
[27] "NameFarmers' School Tax Credit"
[28] "NameHire a Veteran Credit"
[29] "NameHistoric Properties Rehabilitation Credit"
[30] "NameIndustrial or Manufacturing Business Tax Credit"
[31] "NameInvestment Tax Credit"
[32] "NameInvestment Tax Credit for the Financial Services Industry"
[33] "NameLife Sciences Research & Development Tax Credit"
[34] "NameLong-Term Care Insurance Credit"
[35] "NameLow-Income Housing Credit"
[36] "NameMinimum Wage Reimbursement Credit"
[37] "NameMortgage Servicing Tax Credit"
[38] "NameNew York Youth Jobs Program Tax Credit"
[39] "NameQETC Capital Tax Credit"
[40] "NameQETC Employment Credit"
[41] "NameQETC Facilities, Operations, and Training Credit"
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[43] "NameSpecial Additional Mortgage Recording Tax Credit"
[44] "NameSTART-UP NY Tax Elimination Credit"
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character(0)Warning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' values
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[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[31] "NameInvestment_Tax_Credit"
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[48] "Group25_000_000___49_999_999"
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[16] "NameEmpire_State_Film_Post_Production_Credit"
[17] "NameEmpire_State_Film_Production_Credit"
[18] "NameEmpire_State_Musical_and_Theatrical_Production_Credit"
[19] "NameExcelsior_Jobs_Program_Credit"
[20] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[21] "NameEZ_QEZE_Tax_Credits___EZ_Wage_Tax_Credit"
[22] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[23] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes_For_Corporate_Partners"
[24] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[25] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[26] "NameFarm_Workforce_Retention_Credit"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[31] "NameInvestment_Tax_Credit"
[32] "NameInvestment_Tax_Credit_for_the_Financial_Services_Industry"
[33] "NameLife_Sciences_Research___Development_Tax_Credit"
[34] "NameLong_Term_Care_Insurance_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "NameMinimum_Wage_Reimbursement_Credit"
[37] "NameMortgage_Servicing_Tax_Credit"
[38] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[39] "NameQETC_Capital_Tax_Credit"
[40] "NameQETC_Employment_Credit"
[41] "NameQETC_Facilities__Operations__and_Training_Credit"
[42] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[43] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[44] "NameSTART_UP_NY_Tax_Elimination_Credit"
[45] "Group1_000_000___24_999_999"
[46] "Group100_000___499_999"
[47] "Group100_000_000___499_999_999"
[48] "Group25_000_000___49_999_999"
[49] "Group50_000_000___99_999_999"
[50] "Group500_000___999_999"
[51] "Group500_000_000___and_over"
[52] "GroupZero_or_Net_Loss"
[53] "Num"
[1] "Year"
[2] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[3] "NameAlternative_Minimum_Tax_Credit"
[4] "NameBeer_Production_Credit"
[5] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[6] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[7] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[8] "NameBrownfield_Tax_Credits___Remediation_Real_Property_Tax_Credit"
[9] "NameClean_Heating_Fuel_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[12] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[13] "NameCredit_for_Taxicabs___Livery_Service_Vehicles_Accessible_to_Persons_with_Disabilities"
[14] "NameEmpire_State_Apprentice_Tax_Credit"
[15] "NameEmpire_State_Commercial_Production_Credit"
[16] "NameEmpire_State_Film_Post_Production_Credit"
[17] "NameEmpire_State_Film_Production_Credit"
[18] "NameEmpire_State_Musical_and_Theatrical_Production_Credit"
[19] "NameExcelsior_Jobs_Program_Credit"
[20] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[21] "NameEZ_QEZE_Tax_Credits___EZ_Wage_Tax_Credit"
[22] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[23] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes_For_Corporate_Partners"
[24] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[25] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[26] "NameFarm_Workforce_Retention_Credit"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameHistoric_Properties_Rehabilitation_Credit"
[30] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[31] "NameInvestment_Tax_Credit"
[32] "NameInvestment_Tax_Credit_for_the_Financial_Services_Industry"
[33] "NameLife_Sciences_Research___Development_Tax_Credit"
[34] "NameLong_Term_Care_Insurance_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "NameMinimum_Wage_Reimbursement_Credit"
[37] "NameMortgage_Servicing_Tax_Credit"
[38] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[39] "NameQETC_Capital_Tax_Credit"
[40] "NameQETC_Employment_Credit"
[41] "NameQETC_Facilities__Operations__and_Training_Credit"
[42] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[43] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[44] "NameSTART_UP_NY_Tax_Elimination_Credit"
[45] "Group1_000_000___24_999_999"
[46] "Group100_000___499_999"
[47] "Group100_000_000___499_999_999"
[48] "Group25_000_000___49_999_999"
[49] "Group50_000_000___99_999_999"
[50] "Group500_000___999_999"
[51] "Group500_000_000___and_over"
[52] "GroupZero_or_Net_Loss"
[53] "Num"
character(0)Warning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' values
Warning: collapsing to unique 'x' values [1] "Group500_000_000___and_over"
[2] "NameAlternative_Minimum_Tax_Credit"
[3] "NameEmpire_State_Film_Production_Credit"
[4] "NameClean_Heating_Fuel_Credit"
[5] "NameLong_Term_Care_Insurance_Credit"
[6] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[7] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[8] "Group100_000_000___499_999_999"
[9] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[12] "NameHistoric_Properties_Rehabilitation_Credit"
[13] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[14] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[15] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[16] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[17] "Group50_000_000___99_999_999"
[18] "Group25_000_000___49_999_999"
[19] "Group1_000_000___24_999_999"
[20] "NameEmpire_State_Film_Post_Production_Credit"
[21] "GroupZero_or_Net_Loss"
[22] "NameSTART_UP_NY_Tax_Elimination_Credit"
[23] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[24] "Num"
[25] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[26] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameMinimum_Wage_Reimbursement_Credit"
[30] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[31] "NameEmpire_State_Apprentice_Tax_Credit"
[32] "NameFarm_Workforce_Retention_Credit"
[33] "Group500_000___999_999"
[34] "NameMortgage_Servicing_Tax_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "Group100_000___499_999"
[37] "NameQETC_Employment_Credit"
[38] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[39] "Year"
[40] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[1] "Group500_000_000___and_over"
[2] "NameAlternative_Minimum_Tax_Credit"
[3] "NameEmpire_State_Film_Production_Credit"
[4] "NameClean_Heating_Fuel_Credit"
[5] "NameLong_Term_Care_Insurance_Credit"
[6] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[7] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[8] "Group100_000_000___499_999_999"
[9] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[12] "NameHistoric_Properties_Rehabilitation_Credit"
[13] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[14] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[15] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[16] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[17] "Group50_000_000___99_999_999"
[18] "Group25_000_000___49_999_999"
[19] "Group1_000_000___24_999_999"
[20] "NameEmpire_State_Film_Post_Production_Credit"
[21] "GroupZero_or_Net_Loss"
[22] "NameSTART_UP_NY_Tax_Elimination_Credit"
[23] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[24] "Num"
[25] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[26] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameMinimum_Wage_Reimbursement_Credit"
[30] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[31] "NameEmpire_State_Apprentice_Tax_Credit"
[32] "NameFarm_Workforce_Retention_Credit"
[33] "Group500_000___999_999"
[34] "NameMortgage_Servicing_Tax_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "Group100_000___499_999"
[37] "NameQETC_Employment_Credit"
[38] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[39] "Year"
[40] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
character(0)Warning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' values
Warning: collapsing to unique 'x' values [1] "Group500_000_000___and_over"
[2] "NameAlternative_Minimum_Tax_Credit"
[3] "NameEmpire_State_Film_Production_Credit"
[4] "NameClean_Heating_Fuel_Credit"
[5] "NameLong_Term_Care_Insurance_Credit"
[6] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[7] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[8] "Group100_000_000___499_999_999"
[9] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[12] "NameHistoric_Properties_Rehabilitation_Credit"
[13] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[14] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[15] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[16] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[17] "Group50_000_000___99_999_999"
[18] "Group25_000_000___49_999_999"
[19] "Group1_000_000___24_999_999"
[20] "NameEmpire_State_Film_Post_Production_Credit"
[21] "GroupZero_or_Net_Loss"
[22] "NameSTART_UP_NY_Tax_Elimination_Credit"
[23] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[24] "Num"
[25] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[26] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameMinimum_Wage_Reimbursement_Credit"
[30] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[31] "NameEmpire_State_Apprentice_Tax_Credit"
[32] "NameFarm_Workforce_Retention_Credit"
[33] "Group500_000___999_999"
[34] "NameMortgage_Servicing_Tax_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "Group100_000___499_999"
[37] "NameQETC_Employment_Credit"
[38] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[39] "Year"
[40] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
[1] "Group500_000_000___and_over"
[2] "NameAlternative_Minimum_Tax_Credit"
[3] "NameEmpire_State_Film_Production_Credit"
[4] "NameClean_Heating_Fuel_Credit"
[5] "NameLong_Term_Care_Insurance_Credit"
[6] "NameCredit_for_Purchase_of_an_Automated_External_Defibrillator"
[7] "NameCredit_for_Employment_of_Persons_with_Disabilities"
[8] "Group100_000_000___499_999_999"
[9] "NameIndustrial_or_Manufacturing_Business_Tax_Credit"
[10] "NameConservation_Easement_Tax_Credit"
[11] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_6_23_08_but_before_7_1_15"
[12] "NameHistoric_Properties_Rehabilitation_Credit"
[13] "NameEZ_QEZE_Tax_Credits___EZ_Investment_Tax_Credit"
[14] "NameEZ_QEZE_Tax_Credits___QEZE_Credit_for_Real_Property_Taxes"
[15] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___Prior_to_6_23_08"
[16] "NameBrownfield_Tax_Credits___Redevelopment_Tax_Credit___On_or_after_7_1_15"
[17] "Group50_000_000___99_999_999"
[18] "Group25_000_000___49_999_999"
[19] "Group1_000_000___24_999_999"
[20] "NameEmpire_State_Film_Post_Production_Credit"
[21] "GroupZero_or_Net_Loss"
[22] "NameSTART_UP_NY_Tax_Elimination_Credit"
[23] "NameReal_Property_Tax_Relief_Credit_for_Manufacturing"
[24] "Num"
[25] "NameNew_York_Youth_Jobs_Program_Tax_Credit"
[26] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit_For_Corporate_Partners"
[27] "NameFarmers__School_Tax_Credit"
[28] "NameHire_a_Veteran_Credit"
[29] "NameMinimum_Wage_Reimbursement_Credit"
[30] "NameEZ_QEZE_Tax_Credits___QEZE_Tax_Reduction_Credit"
[31] "NameEmpire_State_Apprentice_Tax_Credit"
[32] "NameFarm_Workforce_Retention_Credit"
[33] "Group500_000___999_999"
[34] "NameMortgage_Servicing_Tax_Credit"
[35] "NameLow_Income_Housing_Credit"
[36] "Group100_000___499_999"
[37] "NameQETC_Employment_Credit"
[38] "NameAlternative_Fuels_and_Electric_Vehicle_Recharging_Property_Credit"
[39] "Year"
[40] "NameSpecial_Additional_Mortgage_Recording_Tax_Credit"
character(0)Warning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' valuesWarning: collapsing to unique 'x' values
Warning: collapsing to unique 'x' values
df.rsquare <- as.data.frame(cbind('noReg' = no.reg.r2, 'lassoReg' = lasso.reg.r2, 'ridgeReg' = ridge.reg.r2))
rownames(df.rsquare) = names(all.splits)
df.rsquare# sat.model.bc <- lm(Avg.bc ~., data = xy.splits.sat[['industry']][['data.train']])
#
# temp.df <- as.data.frame(xy.splits.sat[['industry']][['X.test']])
#
# colnames(temp.df)[57]
#
# colnames(temp.df) <- str_replace_all(colnames(temp.df), "[`]", '')
# colnames(temp.df)
#
# y.predict <- predict(sat.model.bc, newdata = temp.df)
# MSE.sat <- mean((y.predict - xy.splits.sat[['industry']][['y.test']])^2)
#
# print(paste(i, ' Lasso MSE: ', MSE.lasso, ' Saturated MSE: ', MSE.sat))
#
# summary(sat.model.bc)$coefficients
# as.data.frame(xy.splits.sat[['industry']][['X.test']]) %>% select(starts_with('`GroupOth'))
as.data.frame(lasso.best.lambda.train.pred) %>% mutate(Avg_in_dollars = (lasso.best.lambda.train.pred*lambda.bc+1)^(1/lambda.bc))calc_MSE(sat.model.bc, as.data.frame(income.sat.data.split[['X.test']]), income.sat.data.split[['y.test']])
[1] 1.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